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Finding the Fourth Proportional to 109,905.20, 164,857.80 and 103,344.20

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Solution

The fourth proportional to 109,905.20, 164,857.80 and 103,344.20 is: 155,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,905.20 : 164,857.80 = 103,344.20 : x
  2. Step 2: Convert to fraction form
    109,905.20/164,857.80 = 103,344.20/x
  3. Step 3: Cross multiply
    109,905.20x = 164,857.80 × 103,344.20
  4. Step 4: Simplify right side
    109,905.20x = 17,037,097,454.76
  5. Step 5: Solve for x
    x = 17,037,097,454.76/109,905.20
  6. Step 6: Final answer
    x = 155,016.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.